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Photoelectric Effect Having run a photoelectric experiment you find that 45 nm i

ID: 1383067 • Letter: P

Question

Photoelectric Effect

Having run a photoelectric experiment you find that 45 nm is the longest wavelength of radiation that can cause electron photoemission from the cathode.

edit: 591 nm is actually the longest wavelength radiation, in (b) the wavelength should be 111 nm, and in (d) the intensity of the light source should be 19 mW/cm2

(a) What is the work function of the cathode metal?
(b) If radiation with wavelength of 1 nm is incident on the same cathode, what will be the KE of the photo-emitted electronics?
(c) What is the stopping voltage?
(d) If the intensity of the light source in (b) is 9 mW/cm2, what will be the current flowing in the external circuit if all photo-emitted electrons are collected?

Explanation / Answer

a) Wo = h*c/lamada

= 6.625*10^-34*3*10^8/(45*10^-9)

= 4.417*10^-18 J

= 4.417*10^-18/(1.6*10^-19) eV

= 27.6 eV

b) Apply,

E = Wo + KE

==> KE = E - Wo

= h*c/lamda - Wo

= 6.625*10^-34*3*10^8/(1*10^-9)

= 198.75*10^-18 - 4.417*10^-18

= 194.333*10^-18 J

= 194.333*10^-18/(1.6*10^-19)

= 1214.6 eV

c) Wo = q*Vo

Vo = Wo/q

= 4.417*10^-18/(1.6*10^-19)

= 27.6 volts

d) Sorry, no idea